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Bella drew a scale drawing of the auditorium. She used the scale $1$ inch $= 1$ foot. What is the drawing's scale factor? $\newline$ Simplify your answer and write it as a fraction. $\newline$ $\_\_$

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Scale drawings: scale factor word problems

Full solution

Q. Bella drew a scale drawing of the auditorium. She used the scale

1

inch

= 1

foot. What is the drawing's scale factor?

\newline

Simplify your answer and write it as a fraction.

\newline

\_\_

Identify Scale: Step $1$ : Identify the scale used in the drawing. $\newline$ Scale factor = $\frac{\text{length in the drawing}}{\text{corresponding length in reality}}$ $\newline$ Scale factor = $\frac{1\,\text{inch}}{1\,\text{foot}}$
Convert to Inches: Step $2$ : Convert the real-world measurement from feet to inches. $\newline$ $1$ foot $= 12$ inches
Calculate Scale Factor: Step $3$ : Calculate the scale factor using the converted measurement. $\newline$ Scale factor = $(1 \text{ inch}) / (12 \text{ inches})$ $\newline$ Scale factor = $\frac{1}{12}$

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